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PLoS ONE

Quantum cryptanalysis of ultralightweight mutual authentication protocols: A Grover’s search model

Maham Shahzadi, Madiha Khalid, Sana Qadir, Mehdi Hussain, Umar Mujahid, Muhammad Najam-ul-Islam

Published Apr 30, 2026• 0 citations
Publisher

Abstract

Quantum computing developments hold the promise of transforming the IT security landscape. Advances in quantum processors have introduced new theoretical threats to traditional cryptographic primitives through algorithms such as Grover's search and Shor's factorization, which can be used to cryptanalyze symmetric and asymmetric ciphers, respectively; however, the practical realization of these attacks depends critically on the availability of Cryptographically Relevant Quantum Computers (CRQCs). While current quantum hardware is still a considerable distance from achieving this threshold, the steady progress in technology suggests that the realization of CRQCs depends fundamentally on ongoing advances in scaling and engineering. In response to this emerging long-term threat, NIST has revised traditional encryption standards by introducing post-quantum cipher suites. While post-quantum cryptography research has primarily focused on conventional asymmetric cryptosystems, symmetric ultralightweight ciphers-commonly employed in resource-constrained environments such as RFID systems-remain an underexplored target of quantum cryptanalysis. This work takes an initial step toward addressing this gap by demonstrating full disclosure attacks on three ultralightweight mutual authentication protocols: the Ultra-Lightweight RFID Authentication and Renewal Protocol (ULRARP+), the Lightweight RFID Authentication Protocol (LRAP), and the Ultra-Lightweight RFID Authentication Protocol (URAP). Based on these findings, the paper proposes a set of design principles to guide the development of quantum-resilient minimalist ciphers for the post-quantum era.

DOI
10.1371/journal.pone.0347296

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Quantum computing developments hold the promise of transforming the IT security landscape. Advances in quantum processors have introduced new theoretical threats to traditional cryptographic primitives through algorithms such as Grover's search and Shor's factorization, which can be used to cryptanalyze symmetric and asymmetric ciphers, respectively; however, the practical realization of these attacks depends critically on the availability of Cryptographically Relevant Quantum Computers (CRQCs). While current quantum hardware is still a considerable distance from achieving this threshold, the steady progress in technology suggests that the realization of CRQCs depends fundamentally on ongoing advances in scaling and engineering. In response to this emerging long-term threat, NIST has revised traditional encryption standards by introducing post-quantum cipher suites. While post-quantum cryptography research has primarily focused on conventional asymmetric cryptosystems, symmetric ultralightweight ciphers-commonly employed in resource-constrained environments such as RFID systems-remain an underexplored target of quantum cryptanalysis. This work takes an initial step toward addressing this gap by demonstrating full disclosure attacks on three ultralightweight mutual authentication protocols: the Ultra-Lightweight RFID Authentication and Renewal Protocol (ULRARP+), the Lightweight RFID Authentication Protocol (LRAP), and the Ultra-Lightweight RFID Authentication Protocol (URAP). Based on these findings, the paper proposes a set of design principles to guide the development of quantum-resilient minimalist ciphers for the post-quantum era.
Quantum computing poses a fundamental threat to modern cryptographic protocols by exploiting quantum algorithms that surpass classical computational limits. Shor’s algorithm can efficiently factor large integers, breaking RSA and other public-key cryptosystems, while Grover’s algorithm accelerates brute-force attacks against symmetric encryption. As quantum hardware advances, traditional cryptographic schemes risk obsolescence, necessitating the development of quantum-resistant cryptographic techniques. This paper explores the theoretical foundations of quantum cryptanalysis, examining key algorithms, their implications for cybersecurity, and the current state of post-quantum cryptographic solutions. By analyzing resource estimates for quantum attacks and potential mitigation strategies, this study provides a comprehensive overview of the evolving cryptographic landscape in the quantum era.
Abstract—The emergence of quantum computing represents a fundamental challenge to contemporary cryptographic infras- tructures, mandating immediate adoption of quantum-resistant cryptographic standards to ensure long-term security. This paper analyzes how Shor’s algorithm renders RSA , ECC vulnerable by solving integer factorization and discrete alogarithm problems in polynomial time, while Grover’s algorithm weakens symmetric encryption through quadratic speedup attacks. Through compre- hensive cryptanalysis, we evaluate the vulnerabilities of current public-key infrastructures, symmetric ciphers, and hash functions against quantum threats. Our research systematically examines post-quantum cryptographic candidates, including lattice-based, hash-based, and multivariate polynomial schemes under NIST standardization, assessing their security guarantees and imple- mentation challenges. Furthermore, we investigate the broader implications for secure communications, blockchain networks, and authentication protocols in a post-quantum world. Based on our findings, we propose a practical transition framework featuring hybrid cryptographic systems, protocol enhancements, and policy updates to facilitate seamless migration. This work provides critical insights and actionable strategies for securing digital infrastructure against quantum threats while maintaining operational efficiency during the transition period. Index Terms—Cryptographic vulnerability, Grover’s algo- rithm, Post-quantum cryptography, Quantum computing, Quan- tum key distribution, Shor’s algorithm, Cybersecurity
This paper investigates the potential impact of quantum computing on the security of currently deployed cryptographic algorithms. The core premise is that the advent of powerful quantum computers, leveraging algorithms like Shor's algorithm and Grover's algorithm, poses a significant threat to widely used public-key cryptosystems and symmetric-key algorithms. We present a theoretical analysis of several key algorithms – RSA, ECC, and AES – examining their vulnerabilities when subjected to quantum attacks. Specifically, we explore the exponential speedup offered by Shor's algorithm for factoring large numbers, the impact on the key size of ECC, and the Grover's algorithm's influence on symmetric key search. Our work highlights the urgency of transitioning to post-quantum cryptography standards to mitigate the risks posed by this technological advancement. The goal is to provide a comprehensive understanding of the landscape of quantum cryptanalysis and its implications for the future of secure communication.
The advent of quantum computing poses an existential threat to classical cryptographic systems. Shor’s algorithm (1994) can factor large integers and compute discrete logarithms in polynomial time, breaking widely used schemes like RSA, ECC, and Diffie-Hellman. This paper surveys the state-of-the-art in quantum cryptanalysis, examining its impact on symmetric and asymmetric cryptography, recent progress in quantum attacks, and defenses via post-quantum cryptography (PQC). We analyze key quantum algorithms (Shor’s, Grover’s), their real-world feasibility given current hardware (NISQ-era limitations), and emerging PQC standards (NIST’s CRYSTALS-Kyber, Dilithium). We also discuss novel attack vectors (e.g., hybrid quantum-classical cryptanalysis) and future research directions.
The threats are existential to the traditional cryptosystems of public keys, including RSA, Diffie-Hellman, and elliptic curve cryptography (ECC), due to the rapid progress in quantum computing. Such algorithms as the Shor and Grover algorithms prove that as soon as large scale quantum computers are achieved, these classical cryptographic protocols will not provide any privacy and integrity to online communication. This has created an emergency to find post-quantum cryptography (PQC), or quantum-safe cryptography, which will resist attacks by both classical and quantum attackers. The paper is a review of the latest research and development in post-quantum cryptographic algorithms and their implementation in current security systems. We organize quantum-safe methods into significant organizations such as lattice-based, hash-based, multivariate polynomial-based and code-based encrypted communications. Each type has been evaluated critically based on computational efficiency, key sizes, speed of encryption/decryption and security proofs. The survey also examines the current standardization activities happening in the world and especially the U.S. National Institute of Standards and Technology (NIST) PQC competition, which lists candidate algorithms that have advanced to standard adoption. Besides this, the paper addresses hybrid cryptographic designs that use both classical and post-quantum bases in ensuring a seamless migration in the transition phase. Internet security protocols like TLS, VPNs and blockchain consensus as applications of PQC are examined in detail. Lastly, we pinpoint open research issues, which include creating lightweight PQC to support resource-constrained IoT devices, balancing performance and strong security assurances, and interoperability between the new PQC algorithms and existing infrastructures. Through detailed survey we inform the future of researchers, practitioners, and policymakers on the preparation of the post-quantum era of secure digital communications.
The emergence of quantum computing poses significant threats to conventional public-key cryptography, driving the urgent need for quantum-resistant cryptographic solutions. While quantum key distribution addresses secure key exchange, its dependency on symmetric keys and point-to-point limitations present scalability constraints. Quantum Asymmetric Encryption (QAE) offers a promising alternative by leveraging quantum mechanical principles for security. This paper presents the first practical implementation of a QAE protocol on IBM Quantum devices, building upon the theoretical framework originally proposed by Yoon et al. We develop a generalized Grover Search Algorithm (GSA) framework that supports non-standard initial quantum states through novel diffusion operator designs, extending its applicability beyond idealized conditions. The complete QAE protocol, including key generation, encryption, and decryption stages, is translated into executable quantum circuits and evaluated on both IBM Quantum simulators and real quantum hardware. Experimental results demonstrate significant scalability challenges, with success probabilities deteriorating considerably for larger systems. The 2-qubit implementation achieves near-perfect accuracy (100% on the simulator, and 93.88% on the hardware), while performance degrades to 78.15% (simulator) and 45.84% (hardware) for 3 qubits, and declines critically to 48.08% (simulator) and 7.63% (hardware) for 4 qubits. This degradation is primarily attributed to noise and decoherence effects in current Noisy Intermediate-Scale Quantum (NISQ) devices, highlighting the limitations of single-iteration GSA approaches. Our findings underscore the critical need for enhanced hardware fidelity and algorithmic optimization to advance the practical viability of quantum cryptographic systems, providing valuable insights for bridging the gap between theoretical quantum cryptography and real-world implementations.